Improved negativity condition for a quadratic function and its application to systems with time-varying delay

被引：34
|
作者：
Zeng, Hong-Bing [1 ]
Lin, Hui-Chao [1 ]
He, Yong [2 ]
Zhang, Chuan-Ke [2 ]
Teo, Kok-Lay [3 ,4 ]
机构：
[1] Hunan Univ Technol, Sch Elect & Informat Engn, Zhuzhou 412007, Peoples R China
[2] China Univ Geosci, Sch Automat, Wuhan 430074, Peoples R China
[3] Curtin Univ Perth, Sch Elect Engn Comp & Math Sci, Bentley, WA 6102, Australia
[4] Tianjin Univ Finance & Econ, Coordinated Innovat Ctr Computable Modeling Manag, Tianjin 300222, Peoples R China
来源：
IET CONTROL THEORY AND APPLICATIONS | 2020年 / 14卷 / 18期
关键词：
time-varying systems; linear systems; linear matrix inequalities; stability; delays; stability criteria; Lyapunov methods; conservative stability criteria; improved negativity condition; quadratic function; time-varying delay; stability problems; STABILITY ANALYSIS; LINEAR-SYSTEMS; INEQUALITY;
D O I：
10.1049/iet-cta.2019.1464
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This article studies the stability problems of linear systems with time-varying delay. An improved negativity condition for a quadratic function parameterised by time-varying delay is derived. Based on this condition, less conservative stability criteria are obtained. Through two well-known numerical examples, it is proved that the proposed method can reduce the conservativeness of the computed results.
引用
收藏
页码：2989 / 2993
页数：5
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